An application-oriented mathematical meta-model of measurement

Abstract The need for broader use of concepts of modelling in the development of a conceptual basis for measurement science is ascertained. A brief review of basic concepts of mathematical modelling is provided, and a class of models, most frequently used in measurement science, is characterised. A meta-model of measurement, unifying many existing methodologies of mathematical modelling in measurement science, is proposed. Its applicability is illustrated with a set of diversified examples.

[1]  J. Cassidy,et al.  Model for the response of an optical sensor based on absorbance measurements to HCl , 2003 .

[2]  Roman Z. Morawski,et al.  Unified approach to measurand reconstruction , 1993 .

[3]  Jacques Oksman,et al.  Information criteria for the choice of parametric functions for measurement , 1998, IEEE Trans. Instrum. Meas..

[4]  Faouzi Derbel,et al.  Modeling fire detector signals by means of system identification techniques , 2001, IEEE Trans. Instrum. Meas..

[5]  Luca Mari,et al.  Measurement in soft systems: Epistemological framework and a case study , 2009 .

[6]  Dmitri B. Papkovsky,et al.  Modeling of luminescence-based oxygen sensors with non-uniform distribution of excitation and quenching characteristics inside active medium , 2003 .

[7]  R.Z. Morawski,et al.  Digital signal processing in measurement microsystems , 2004, IEEE Instrumentation & Measurement Magazine.

[8]  Roman Z. Morawski,et al.  Dynamic calibration of measurement channels using algorithms of nondifferentiable optimization , 1992 .

[9]  Roman Z. Morawski,et al.  Spectrophotometric applications of digital signal processing , 2006 .

[10]  W. Shin,et al.  Numerical analysis of response time for resistive oxygen gas sensors , 2002 .

[11]  Roman Z. Morawski Unified approach to measurement signal reconstruction , 1991 .

[12]  Luca Mari,et al.  Epistemology of measurement , 2003 .

[13]  Shigeki Hirobayashi,et al.  Verification of a logarithmic model for estimation of gas concentrations in a mixture for a tin oxide gas sensor response , 2003 .

[14]  R. N. Miller,et al.  An automated data acquisition system for modeling the characteristics of a soil moisture sensor , 1991 .

[15]  M. Elwenspoek,et al.  Determination of the sensitivity behavior of an acoustic, thermal flow sensor by electronic characterization , 2004 .

[16]  John W. Gillespie,et al.  Characterization and theoretical modeling of magnetostrictive strain sensors , 2004 .